Abstract

PALOMARES-RUIZ, J.E.; RODRIGUEZ-MADRIGAL, M.; CASTRO LUGO, J.G.  and  RODRIGUEZ-SOTO, A.A.. Fractional viscoelastic models applied to biomechanical constitutive equations. Rev. mex. fis. [online]. 2015, vol.61, n.4, pp.261-267. ISSN 0035-001X.

The aim of this work consist to compare the traditional viscoelastic material models vs the fractional ones, determinate the fractional order of the differential operator that characterize the mechanical stress-strain relation, the stress relaxation and the creep compliance of this models for a biological soft tissue, in particular a femoral artery. Apply the Laplace transform for Mittag-Leffler function type and the convolution on fractional standard lineal solid differential equation, known as Zener model, to obtain analytical solution. Simulated the force-pressure related by singular blood flow pulse and the displacement response.

Keywords : Fractional; viscoelastic; biomechanics; soft tissues.

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